Multiple solutions and numerical analysis to the dynamic and stationary models coupling a delayed energy balance model involving latent heat and discontinuous albedo with a deep ocean

Díaz Díaz, Jesús Ildefonso and Hidalgo López, Arturo and Tello Del Castillo, María Lourdes (2014). Multiple solutions and numerical analysis to the dynamic and stationary models coupling a delayed energy balance model involving latent heat and discontinuous albedo with a deep ocean. "Proceedings of the Royal Society a-Mathematical Physical And Engineering Sciences", v. 470 (n. 2170); pp.. ISSN 1364-5021. https://doi.org/10.1098/rspa.2014.0376.

Description

Title: Multiple solutions and numerical analysis to the dynamic and stationary models coupling a delayed energy balance model involving latent heat and discontinuous albedo with a deep ocean
Author/s:
  • Díaz Díaz, Jesús Ildefonso
  • Hidalgo López, Arturo
  • Tello Del Castillo, María Lourdes
Item Type: Article
Título de Revista/Publicación: Proceedings of the Royal Society a-Mathematical Physical And Engineering Sciences
Date: 2014
ISSN: 1364-5021
Volume: 470
Subjects:
Faculty: E.T.S.I. de Minas y Energía (UPM)
Department: Ingeniería Geológica y Minera
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

We study a climatologically important interaction of two of the main components of the geophysical system by adding an energy balance model for the averaged atmospheric temperature as dynamic boundary condition to a diagnostic ocean model having an additional spatial dimension. In this work, we give deeper insight than previous papers in the literature, mainly with respect to the 1990 pioneering model by Watts and Morantine. We are taking into consideration the latent heat for the two phase ocean as well as a possible delayed term. Non uniqueness for the initial boundary value problem, uniqueness under a non-degeneracy condition, and the existence of multiple stationary solutions are proved here. These multiplicity results suggest that an S-shaped bifurcation diagram should be expected to occur in this class of models generalizing previous Energy Balance Models (EBMs). The numerical method applied to the model is based on a finite volume scheme with nonlinear WENO reconstruction and Runge-Kutta TVD for time integration.

More information

Item ID: 49072
DC Identifier: http://oa.upm.es/49072/
OAI Identifier: oai:oa.upm.es:49072
DOI: 10.1098/rspa.2014.0376
Official URL: https://royalsocietypublishing.org/journal/rspa
Deposited by: Memoria Investigacion
Deposited on: 19 Jan 2018 11:36
Last Modified: 23 Jul 2019 06:50
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